Abstract
We return to the family of functions h r (x) = rx(1 − x) where r > 0. As we saw in Chapter 1, this family is a reasonable model of population growth. We note that the graph of h r is a parabola facing down with x intercepts at 0 and 1, and with a vertex at the point \( \left( {\tfrac{1}{2},\tfrac{r}{4}} \right) \)
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© 1996 Springer Science+Business Media New York
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Holmgren, R.A. (1996). The Logistic Function Part I: Cantor Sets and Chaos. In: A First Course in Discrete Dynamical Systems. Universitext. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8732-7_8
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DOI: https://doi.org/10.1007/978-1-4419-8732-7_8
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